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10034434300 = 22521141222493
BaseRepresentation
bin10010101100001100…
…10101000011111100
3221220022120002002211
421112012111003330
5131022303344200
64335412430204
7503443166332
oct112606250374
927808502084
1010034434300
11428a1a4010
121b40618364
13c3bb858b7
146b2967b52
153dae10aba
hex2561950fc

10034434300 has 72 divisors (see below), whose sum is σ = 24333723792. Its totient is φ = 3559872000.

The previous prime is 10034434283. The next prime is 10034434321. The reversal of 10034434300 is 343443001.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66147 + ... + 156346.

It is an arithmetic number, because the mean of its divisors is an integer number (337968386).

Almost surely, 210034434300 is an apocalyptic number.

10034434300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10034434300 is an abundant number, since it is smaller than the sum of its proper divisors (14299289492).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10034434300 is a wasteful number, since it uses less digits than its factorization.

10034434300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222559 (or 222552 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 10034434300 its reverse (343443001), we get a palindrome (10377877301).

The spelling of 10034434300 in words is "ten billion, thirty-four million, four hundred thirty-four thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 41 44 50 55 82 100 110 164 205 220 275 410 451 550 820 902 1025 1100 1804 2050 2255 4100 4510 9020 11275 22550 45100 222493 444986 889972 1112465 2224930 2447423 4449860 4894846 5562325 9122213 9789692 11124650 12237115 18244426 22249300 24474230 36488852 45611065 48948460 61185575 91222130 100344343 122371150 182444260 200688686 228055325 244742300 401377372 456110650 501721715 912221300 1003443430 2006886860 2508608575 5017217150 10034434300